On geometric Lagrange interpolation by quadratic parametric patches

DOI10.1016/j.cagd.2007.09.002zbMath1172.65330OpenAlexW1999147363MaRDI QIDQ735481

Vito Vitrih, Marjeta Krajnc, Jernej Kozak, Gašper Jaklič, Emil Žagar

Publication date: 22 October 2009

Published in: Computer Aided Geometric Design (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cagd.2007.09.002

zbMATH Keywords

interpolationapproximationparametric surface

Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Numerical interpolation (65D05) Interpolation in approximation theory (41A05) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (4)

Geometric approximation of the sphere by triangular polynomial spline patches ⋮ Hermite parametric surface interpolation based on Argyris element ⋮ High order parametric polynomial approximation of quadrics in \(\mathbb{R}^d\) ⋮ Exact sphere representations over Platonic solids based on rational multisided Bézier patches

Cites Work

• Geometric Hermite interpolation with maximal order and smoothness
• Geometric interpolation by planar cubic polynomial curves
• Construction of lattices for Lagrange interpolation in projective space
• Polynomial interpolation of minimal degree
• Generation of lattices of points for bivariate interpolation
• Polynomial interpolation in several variables
• General Lagrange and Hermite interpolation in \(R^n\) with applications to finite element methods
• On geometric interpolation of parametric surfaces
• On multivariate polynomial interpolation
• A general framework for high-accuracy parametric interpolation
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